[go: up one dir, main page]

Search a number
-
+
72146944 = 2138807
BaseRepresentation
bin1000100110011…
…10000000000000
312000202110000001
410103032000000
5121432200234
611054205344
71534144642
oct423160000
9160673001
1072146944
11377a8081
12201b3854
1311c40acc
149820892
156501d14
hex44ce000

72146944 has 28 divisors (see below), whose sum is σ = 144301464. Its totient is φ = 36069376.

The previous prime is 72146941. The next prime is 72146953. The reversal of 72146944 is 44964127.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72146941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3789 + ... + 12595.

Almost surely, 272146944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72146944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72150732).

72146944 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72146944 is an frugal number, since it uses more digits than its factorization.

72146944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8833 (or 8809 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 72146944 is about 8493.9357190881. The cubic root of 72146944 is about 416.2995869587.

The spelling of 72146944 in words is "seventy-two million, one hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 8807 17614 35228 70456 140912 281824 563648 1127296 2254592 4509184 9018368 18036736 36073472 72146944